Answered step by step
Verified Expert Solution
Question
1 Approved Answer
Consider the following graphs: A . Are these graphs strongly connected? Explain why or why not. B . Are these graphs aperiodic? If a graph
Consider the following graphs:
A Are these graphs strongly connected? Explain why or why not.
B Are these graphs aperiodic? If a graph is periodic, compute its period.
Consider the basic averaging opinion dynamics model in timestep t each
node adopts the time average opinion of its outneighbors
A Give an example of a strongly connected, periodic graph with a period of
B In your graph from A what happens to the nodes' initial opinions over time?
A qualitative answer is fine here.
C Give an example of a graph with at least nodes in which the averaging
opinion dynamics converges to a state in which not all nodes have the same
opinion.
D Give an example of a graph with at least nodes in which the averaging
opinion dynamics converges to consensus every node has the same opinion
and the common opinion is exactly the average of all nodes' initial opinions.
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started